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Finding the Fourth Proportional to 14,040.87, 19,363.73 and 9,257.42

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Solution

The fourth proportional to 14,040.87, 19,363.73 and 9,257.42 is: 12,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.87 : 19,363.73 = 9,257.42 : x
  2. Step 2: Convert to fraction form
    14,040.87/19,363.73 = 9,257.42/x
  3. Step 3: Cross multiply
    14,040.87x = 19,363.73 × 9,257.42
  4. Step 4: Simplify right side
    14,040.87x = 179,258,181.38
  5. Step 5: Solve for x
    x = 179,258,181.38/14,040.87
  6. Step 6: Final answer
    x = 12,766.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.